36 citations · 87 across the 10 of their papers we have counts for
12 papers
Betti Numbers of Odd Biisotropic Symplectic Grassmannians
Anton Fonarev, Alexander Kuznetsov
We compute the singular cohomology groups of odd biisotropic symplectic Grassmannians by presenting an explicit dimension-preserving combinatorial b…
Hochschild Cohomology of Isotropic Grassmannians
Anton Fonarev
We prove that nonspecial isotropic Grassmannians (that is, all isotropic Grassmannians which are neither (co)adjoint nor (co)minuscule, except for $n\geq…
Derived Categories of Grassmannians: a Survey
Anton Fonarev
We discuss what is known about the structure of the bounded derived categories of coherent sheaves on Grassmannians of simple algebraic groups.
Derived category of moduli of parabolic bundles on
Anton Fonarev
We propose a conjecture on the structure of the bounded derived category of coherent sheaves of the moduli space rank parabolic bundles on .
Dual exceptional collections on Lagrangian Grassmannians
Anton Fonarev
We construct graded left dual exceptional collections to the exceptional collections generating the blocks of Kuznetsov and Polishchuk on Lagrangian Grassmannians. As an applicatio…
Bokstedt periodicity generator via K-theory
A. Fonarev, D. Kaledin
For a prime field of characteristic , we construct the Bökstedt periodicity generator as an explicit class in the stabilization of -theory with coeff…
Full exceptional collections on Lagrangian Grassmannians
Anton Fonarev
We show fullness of the exceptional collections of maximal length constructed by A. Kuznetsov and A. Polishchuk in the bounded derived categories of coherent sheaves on Lagrangian…
On the bounded derived category of
Anton Fonarev
We construct a mininal Lefschetz decomposition of the bounded derived category of coherent sheaves on the isotropic Grassmannian . Moreover, we show that $\maths…
Derived categories of curves as components of Fano manifolds
Anton Fonarev, Alexander Kuznetsov
We prove that the derived category of a generic curve of genus greater than one embeds into the derived category of the moduli space of rank two stable bundles on…
Irreducible Ulrich bundles on isotropic Grassmannians
Anton Fonarev
We classify irreducible equivariant Ulrich vector bundles on isotropic Grassmannians.
On a conjecture of Kuznetsov and Polishchuk
Anton Fonarev
We prove a conjecture by A. Kuznetsov and A. Polishchuk on the existence of some particular full exceptional collections in bounded derived categories of coherent sheaves on Grassm…
On minimal Lefschetz decompositions for Grassmannians
Anton Fonarev
We construct two Lefschetz decompositions of the derived category of coherent sheaves on the Grassmannian of -dimensional subspaces in a vector space of dimension . Both of t…